103200200 has 96 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 38384640.

The previous prime is 103200193. The next prime is 103200221. The reversal of 103200200 is 2002301.

It is a super-3 number, since 3×103200200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431681 + ... + 431919.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^103200200 is an apocalyptic number.

103200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

103200200 is an abundant number, since it is smaller than the sum of its proper divisors (153926200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103200200 is a wasteful number, since it uses less digits than its factorization.

103200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103200200 is about 10158.7499230959. The cubic root of 103200200 is about 469.0583227842.

Adding to 103200200 its reverse (2002301), we get a palindrome (105202501).

The spelling of 103200200 in words is "one hundred three million, two hundred thousand, two hundred".